The Swans go into the second leg of their Europa League third qualifying round tie with a handsome 4-0 advantage over their Swedish opponents, and a place in the play-off round is all but secure.
Laudrup will make changes, one of which will be enforced due to Jonjo Shelvey's illness, for the return meeting, but has urged his side to focus and make the most of early competitive action before Manchester United visit the Liberty Stadium in 10 days for the start of the Barclays Premier League season.
"This game is not about testing things, we have to move on from the game last week," he said.
"We are here to win the game. We want to qualify and win this game, I am not here for us to play tomorrow and lose 2-1 or 3-2 and be satisfied with that.
"I am here to win and have a good performance.
"We know we are nearly there but for me it is important to have a good performance before we start the Premier League against Manchester United.
"We have built through pre-season, we have conceded only one goal and that is what I want to see.
"I want a good performance away from home in a game where there will be moments when we will not dominate, which we will have to be able to cope with as our first two games in the league are against very good sides in United and Tottenham."
The Dane also expects the Swedish hosts to provide a sterner test for Swansea after their heavy defeat in south Wales last week.
He said: "No-one likes to lose 4-0 and to be honest they did well in the first half last week.
"We had the ball, we played it around a lot, but to be fair to Malmo they were well organised and we were a bit lucky their defender slipped for the first goal.
"Tomorrow they play in front of their home fans and they will try and do their best to win the game.
"They will know it will be hard to score five against us but they will want to win the game and we want the same."
In addition to Shelvey's absence, Laudrup will again be without winger Pablo Hernandez after choosing not to risk the Spaniard as he recovers from a groin injury.
Chico Flores is set to return alongside Ashley Williams at the heart of the defence after a thigh injury restricted him to a place on the bench last week.
Laudrup may also choose to hand a full debut to Jose Canas in midfield, with Jonathan de Guzman and Neil Taylor also in line for starts.
Captain Williams echoed his manager's sentiments and urged his team-mates to put the first leg result to the back of their mind.
"We have to forget the score. It's a strange feeling having a 4-0 lead but performance is the main thing.
"We are not getting eased into the Premier League and these are good chances to iron out any issues."